Search a number
-
+
200222120110012 = 22711213101149457661
BaseRepresentation
bin101101100001100111011000…
…010110000110011110111100
3222020221001021210210202111121
4231201213120112012132330
5202220414400222010022
61545500434442200324
760113366534150260
oct5541473026063674
9866831253722447
10200222120110012
11588847a7027600
121a55847aab30a4
138794b32295040
143762b337d00a0
15182338446a2c7
hexb619d85867bc

200222120110012 has 576 divisors, whose sum is σ = 483707255673600. Its totient is φ = 70554654720000.

The previous prime is 200222120110007. The next prime is 200222120110093. The reversal of 200222120110012 is 210011021222002.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 302907896962 + ... + 302907897622.

It is an arithmetic number, because the mean of its divisors is an integer number (839769541100).

Almost surely, 2200222120110012 is an apocalyptic number.

200222120110012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200222120110012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241853627836800).

200222120110012 is an abundant number, since it is smaller than the sum of its proper divisors (283485135563588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200222120110012 is a wasteful number, since it uses less digits than its factorization.

200222120110012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 200222120110012 its reverse (210011021222002), we get a palindrome (410233141332014).

The spelling of 200222120110012 in words is "two hundred trillion, two hundred twenty-two billion, one hundred twenty million, one hundred ten thousand, twelve".